Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
228 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 79 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#14579100 | C2 | semidirect |
| 3. C2×C16×D79 | C2 | semidirect |
| 4. C22⋊(C79⋊C16) | C2 | semidirect |
| 5. (C2×D79)⋊C16 | C2 | semidirect |
| 6. (C2×D79)⋊C16 | C2 | semidirect |
| 7. C22⋊C16×C79 | C2 | semidirect |
| 93. C79 | #2113 | semidirect |
| 100. C22⋊C16 | D79 | semidirect |